A superspace path integral proof of the Gauss-Bonnet-Chern theorem

DOI10.1016/0393-0440(87)90001-5zbMath0669.58002OpenAlexW2085122731MaRDI QIDQ1118872

Alice Rogers

Publication date: 1987

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(87)90001-5

zbMATH Keywords

superspaceGauss-Bonnet-Chern theoremfermionic path integration

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Analysis on supermanifolds or graded manifolds (58C50)

Related Items

The supertrace of the steady asymptotic of the spinorial heat kernel, Path integrals, supersymmetric quantum mechanics, and the Atiyah-Singer index theorem for twisted Dirac, Short-time asymptotics of a rigorous path integral for N = 1 supersymmetric quantum mechanics on a Riemannian manifold, Witten complex and supersymmetric quantum mechanics on SO(3)

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